TY  - JOUR
AU  - Buchta, S.
AU  - Chachamis, G.
AU  - Draggiotis, P.
AU  - Rodrigo, G.
PY  - 2017
DA  - 2017//
TI  - Numerical implementation of the loop-tree duality method
T2  - Eur. Phys. J. C
JO  - European Physical Journal C
SP  - 274 - 15pp
VL  - 77
IS  - 5
PB  - Springer
AB  - We present a first numerical implementation of the loop-tree duality (LTD) method for the direct numerical computation of multi-leg one-loop Feynman integrals. We discuss in detail the singular structure of the dual integrands and define a suitable contour deformation in the loop three-momentum space to carry out the numerical integration. Then we apply the LTD method to the computation of ultraviolet and infrared finite integrals, and we present explicit results for scalar and tensor integrals with up to eight external legs (octagons). The LTD method features an excellent performance independently of the number of external legs.
SN  - 1434-6044
UR  - http://arxiv.org/abs/1510.00187
UR  - https://doi.org/10.1140/epjc/s10052-017-4833-6
DO  - 10.1140/epjc/s10052-017-4833-6
LA  - English
N1  - WOS:000400642800002
ID  - Buchta_etal2017
ER  -